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13,768

13,768 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).
Deficient Number Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
25
Digit product
1,008
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
86,731
Recamán's sequence
a(21,180) = 13,768
Square (n²)
189,557,824
Cube (n³)
2,609,832,120,832
Divisor count
8
σ(n) — sum of divisors
25,830
φ(n) — Euler's totient
6,880
Sum of prime factors
1,727

Primality

Prime factorization: 2 3 × 1721

Nearest primes: 13,763 (−5) · 13,781 (+13)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 1721 · 3442 · 6884 (half) · 13768
Aliquot sum (sum of proper divisors): 12,062
Factor pairs (a × b = 13,768)
1 × 13768
2 × 6884
4 × 3442
8 × 1721
First multiples
13,768 · 27,536 (double) · 41,304 · 55,072 · 68,840 · 82,608 · 96,376 · 110,144 · 123,912 · 137,680

Sums & aliquot sequence

As a sum of two squares: 58² + 102²
As consecutive integers: 853 + 854 + … + 868
Aliquot sequence: 13,768 12,062 6,634 3,734 1,870 2,018 1,012 1,004 760 1,040 1,564 1,460 1,648 1,576 1,394 874 566 — unresolved within range

Representations

In words
thirteen thousand seven hundred sixty-eight
Ordinal
13768th
Binary
11010111001000
Octal
32710
Hexadecimal
0x35C8
Base64
Ncg=
One's complement
51,767 (16-bit)
In other bases
ternary (3) 200212221
quaternary (4) 3113020
quinary (5) 420033
senary (6) 143424
septenary (7) 55066
nonary (9) 20787
undecimal (11) a387
duodecimal (12) 7b74
tridecimal (13) 6361
tetradecimal (14) 5036
pentadecimal (15) 412d

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγψξηʹ
Mayan (base 20)
𝋡·𝋮·𝋨·𝋨
Chinese
一萬三千七百六十八
Chinese (financial)
壹萬參仟柒佰陸拾捌
In other modern scripts
Eastern Arabic ١٣٧٦٨ Devanagari १३७६८ Bengali ১৩৭৬৮ Tamil ௧௩௭௬௮ Thai ๑๓๗๖๘ Tibetan ༡༣༧༦༨ Khmer ១៣៧៦៨ Lao ໑໓໗໖໘ Burmese ၁၃၇၆၈

Digit at this position in famous constants

π — Pi (π)
Digit 13,768 = 2
e — Euler's number (e)
Digit 13,768 = 1
φ — Golden ratio (φ)
Digit 13,768 = 5
√2 — Pythagoras's (√2)
Digit 13,768 = 0
ln 2 — Natural log of 2
Digit 13,768 = 0
γ — Euler-Mascheroni (γ)
Digit 13,768 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13768, here are decompositions:

  • 5 + 13763 = 13768
  • 11 + 13757 = 13768
  • 17 + 13751 = 13768
  • 47 + 13721 = 13768
  • 59 + 13709 = 13768
  • 71 + 13697 = 13768
  • 89 + 13679 = 13768
  • 149 + 13619 = 13768

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-35C8
U+35C8
Other letter (Lo)

UTF-8 encoding: E3 97 88 (3 bytes).

Hex color
#0035C8
RGB(0, 53, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.200.

Address
0.0.53.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.200

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 13768 first appears in π at position 194,278 of the decimal expansion (the 194,278ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.